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Gravity Waves and Gravitino Dark Matter in $μ$-Hybrid Inflation (1709.04610v2)

Published 14 Sep 2017 in hep-ph and astro-ph.CO

Abstract: We propose a novel reformulation of supersymmetric (more precisely $\mu$-) hybrid inflation based on a local U(1) or any suitable extension of the minimal supersymmetric standard model (MSSM) which also resolves the $\mu$ problem. We employ a suitable Kahler potential which effectively yields quartic inflation with non-minimal coupling to gravity. Imposing the gravitino Big Bang Nucleosynthesis (BBN) constraint on the reheat temperature ($T_r \lesssim 106$ GeV) and requiring a neutralino LSP, the tensor to scalar ratio ($r$) has a lower bound $r \gtrsim 0.004$. The U(1) symmetry breaking scale lies between $108$ and $10{12}$ GeV. We also discuss a scenario with gravitino dark matter whose mass is a few GeV.

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